LCM of 138, 615, 381, 428, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 138, 615, 381, 428, 405 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 138, 615, 381, 428, 405. So, keep reading to learn more.
Given numbers are 138,615,381,428,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,615,381,428,405 is 20759371740.
Find LCM of 138,615,381,428,405 with Prime Factorization
| 2 | 138, 615, 381, 428, 405 |
| 3 | 69, 615, 381, 214, 405 |
| 5 | 23, 205, 127, 214, 135 |
| 23, 41, 127, 214, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 41 x 127 x 214 x 27 = 20759371740
Therefore, the lowest common multiple of 138,615,381,428,405 is 20759371740.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
138 x 615 x 381 x 428 x 405 = 5605030369800
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
138 : 1, 2, 3, 6, 23, 46, 69, 138
615 : 1, 3, 5, 15, 41, 123, 205, 615
381 : 1, 3, 127, 381
428 : 1, 2, 4, 107, 214, 428
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,615,381,428,405, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
615:3x 5x 41
381:3x 127
428:2x 2x 107
405:3x 3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5 = 270
Therefore, the value for common factors is 270.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 5605030369800/(1x270)
LCM = 5605030369800/270
LCM = 20759371740
Thus, we can understand that the LCM of 138,615,381,428,405 is 20759371740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 138, 615, 381, 428, 405
1. What is the LCM of 138, 615, 381, 428, 405?
Answer: LCM of 138, 615, 381, 428, 405 is 20759371740.
2. How to calculate the LCM of 138, 615, 381, 428, 405?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 138, 615, 381, 428, 405.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.